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Simplifying -9v + 46 = -5(v + -6) Reorder the terms: 46 + -9v = -5(v + -6) Reorder the terms: 46 + -9v = -5(-6 + v) 46 + -9v = (-6 * -5 + v * -5) 46 + -9v = (30 + -5v) Solving 46 + -9v = 30 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 46 + -9v + 5v = 30 + -5v + 5v Combine like terms: -9v + 5v = -4v 46 + -4v = 30 + -5v + 5v Combine like terms: -5v + 5v = 0 46 + -4v = 30 + 0 46 + -4v = 30 Add '-46' to each side of the equation. 46 + -46 + -4v = 30 + -46 Combine like terms: 46 + -46 = 0 0 + -4v = 30 + -46 -4v = 30 + -46 Combine like terms: 30 + -46 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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